Multiple Representations Card Sort

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of y to x is constant. This means that as x increases, y increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not have a constant ratio between y and x. The graph of a non-proportional relationship does not pass through the origin.

Front

What does it mean for a line to be proportional?

Back

A proportional line passes through the origin (0,0) and has a constant slope. This means that if x is doubled, y is also doubled.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise (change in y) over the run (change in x).

Front

What is the equation of a line that decreases?

Back

The equation of a line that decreases has a negative slope. For example, y = -2x + 5 represents a line that decreases.

Front

What does the term 'burn rate' refer to in a real-world context?

Back

Burn rate refers to the speed at which something is consumed or used up over time, such as a candle burning down.

Front

How do you write an equation from a word problem?

Back

To write an equation from a word problem, identify the variables, determine the relationship between them, and express it in the form of an equation.